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Finding the Fourth Proportional to 458,592.40, 687,305.40 and 408,437.20

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Solution

The fourth proportional to 458,592.40, 687,305.40 and 408,437.20 is: 612,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,592.40 : 687,305.40 = 408,437.20 : x
  2. Step 2: Convert to fraction form
    458,592.40/687,305.40 = 408,437.20/x
  3. Step 3: Cross multiply
    458,592.40x = 687,305.40 × 408,437.20
  4. Step 4: Simplify right side
    458,592.40x = 280,721,093,120.88
  5. Step 5: Solve for x
    x = 280,721,093,120.88/458,592.40
  6. Step 6: Final answer
    x = 612,136.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.